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Introduction to integer addition

Adding integers

Introduction to integer subtraction

Subtracting integers

Application of integer operations

Multiplying integers

Dividing integers

Order of operations (PEMADS)

Prime factorization

Least Common Multiple (LCM)

Greatest Common Factors (GCF)

Adding fractions with like denominators

Subtracting fractions with like denominators

Adding and subtracting fractions with unlike denominators

Multiplying proper fractions

Dividing fractions and mixed numbers

Adding and subtracting decimal numbers

Multiplying decimal numbers

Dividing decimal numbers

Scientific notation

Rational vs. Irrational numbers

Patterns

Adding and subtracting polynomials

Multiplying polynomials by monomials

Solving linear equations using multiplication and division

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving one - step equations: x + a = b

Solving linear equations with variables on both sides

Evaluating algebraic expressions

Solving literal equations

Applications of polynomial functions

Money related questions in linear equations

Absolute value functions

Solving absolute value equations

Solving absolute value inequalities

Express linear inequalities graphically and algebraically

Solving one-step linear inequalities

Solving multi-step linear inequalities

Graphing linear inequalities in two variables

Word problems of graphing linear functions

Rate of change

Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$

General form: Ax + By + C = 0

Point-slope form: $y - y_1 = m (x - x_1)$

Parallel and perpendicular lines in linear functions

Domain and range of a function

Identifying functions

Function notation

Graphing linear functions using x- and y-intercepts

Determining number of solutions to linear equations

Using elimination method to solve systems of equations

Using substitution method to solve systems of equations

Solving systems of linear equations by graphing

Exponents: Product rule (a^x)(a^y) = a^(x+y)

Exponents: Power rule (a^x)^y = a^(x * y)

Exponents: Division rule (a^x / a^y) = a^(x-y)

Combining the exponent rules

Exponents: Zero exponent: a^0 = 1

Multiplying binomial by binomial

Solving linear equations using distributive property: a(x + b) = c

Common factors of polynomials

Factor by taking out the greatest common factor

Factoring polynomials: $ax^2 + bx + c$

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

Factoring difference of squares: x^2 - y^2

Introduction to quadratic functions

Factoring polynomials by grouping

Factoring polynomials: x^2 + bx + c

Evaluating polynomials

Word problems of polynomials

Evaluating and simplifying radicals

Converting radicals to mixed radicals

Introduction to imaginary numbers

Adding and subtracting complex numbers

Multiplying and dividing complex numbers

Complex conjugates

Solving quadratic equations by factoring

Solving quadratic equations by completing the square

Solving quadratic equations using the quadratic formula

Nature of roots of quadratic equations: The discriminant

Applications of quadratic equations

Ratios

Similar polygons

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

Median and mode

Mean

Application of averages

Introduction to probability

Organizing outcomes

Probability of independent events

Fundamental counting principle

Combinations

Permutations

Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$

Solving second degree trigonometric equations

Rational exponents

Solving radical equations

Basic radical functions

Composite functions

Inverse functions

What is a logarithm?

Evaluating logarithms without a calculator

Product rule of logarithms

Quotient rule of logarithms

Combining product rule and quotient rule in logarithms

Solving logarithmic equations

Evaluating logarithms using change-of-base formula

Exponential growth and decay by a factor

Exponential decay: Half-life

Natural log: ln